Biological network systems, such as inter- and intra-cellular signalling systems, are handled in a sophisticated manner by the transport of molecular information. Over the past few decades, there has been a growing interest in the development of synthetic molecular-transport systems. However, several key technologies have not been sufficiently realized to achieve optimum performance of transportation methods. Here we show that a new type of supramolecular system comprising of carbon nanotubes and liposomes enables the directional transport and controlled release of carrier molecules, and allows an enzymatic reaction at a desired area. The study highlights important progress that has been made towards the development of biomimetic molecular-transport systems and various lab-on-a-chip applications, such as medical diagnosis, sensors, bionic computers and artificial biological networks.